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Finding the Fourth Proportional to 90.82, 125.40 and 83.53

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Solution

The fourth proportional to 90.82, 125.40 and 83.53 is: 115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.82 : 125.40 = 83.53 : x
  2. Step 2: Convert to fraction form
    90.82/125.40 = 83.53/x
  3. Step 3: Cross multiply
    90.82x = 125.40 × 83.53
  4. Step 4: Simplify right side
    90.82x = 10,474.66
  5. Step 5: Solve for x
    x = 10,474.66/90.82
  6. Step 6: Final answer
    x = 115.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.